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Finding the Third Proportional to 36,608 and 54,748

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Solution

The third proportional to 36,608 and 54,748 is: 81,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,608 : 54,748 = 54,748 : x
  2. Step 2: Convert to fraction form
    36,608/54,748 = 54,748/x
  3. Step 3: Cross multiply
    36,608x = 54,748 × 54,748
  4. Step 4: Simplify right side
    36,608x = 2,997,343,504
  5. Step 5: Solve for x
    x = 2,997,343,504/36,608
  6. Step 6: Final answer
    x = 81,876.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.